b: Solve similarly to a, but in this case the angles sum to a circle, so a + b + c + d + e = 360 degrees. The remainder of the solution is as above.

Solved

Posted on 2016-10-10

Dear experts,

I have attached two pic of plane geometry. I am unable to calculate the angles. Can someone please guide me with the calculations.

Thank you

Ex-26A1.JPG

Ex-26A2.JPG

I have attached two pic of plane geometry. I am unable to calculate the angles. Can someone please guide me with the calculations.

Thank you

Ex-26A1.JPG

Ex-26A2.JPG

3 Comments

b: Solve similarly to a, but in this case the angles sum to a circle, so a + b + c + d + e = 360 degrees. The remainder of the solution is as above.

The reason why you can't solve the equations is that you have more variables than equations, so you need an additional equation. In the first picture you are given 2 equations with 3 variables. To solve it, you need 3 equations. Looking at the picture, there is an obvious 3rd equation that you can write down, something you already know about the 3 variables.

Here are the 3 equations:

x = 3yThe values of n, m, p and a are obvious from the drawing. See if you can find them. Once you have them you can go ahead and solve the equations.

3z = 5x

nx+my+pz=a

The same is true about your 2nd picture: you have 5 variables and 4 equations. You know something else about the 5 variables, which will give you your 5th equation.

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